TY - GEN
T1 - Sum degrees-of-freedom of two-unicast wireless networks
AU - Shomorony, Ilan
AU - Avestimehr, A. Salman
PY - 2011/10/26
Y1 - 2011/10/26
N2 - We consider two-source two-destination (i.e., two-unicast) multi-hop wireless networks that have a layered structure with arbitrary connectivity. We show that, if the channel gains are independently drawn from continuous distributions, then, with probability 1, two-unicast layered Gaussian networks can only have 1, 3/2 or 2 sum degrees-of-freedom1. We provide necessary and sufficient conditions for each case based on the network topology and a new notion of source-destination paths with manageable interference.
AB - We consider two-source two-destination (i.e., two-unicast) multi-hop wireless networks that have a layered structure with arbitrary connectivity. We show that, if the channel gains are independently drawn from continuous distributions, then, with probability 1, two-unicast layered Gaussian networks can only have 1, 3/2 or 2 sum degrees-of-freedom1. We provide necessary and sufficient conditions for each case based on the network topology and a new notion of source-destination paths with manageable interference.
UR - http://www.scopus.com/inward/record.url?scp=80054811962&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=80054811962&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2011.6033938
DO - 10.1109/ISIT.2011.6033938
M3 - Conference contribution
AN - SCOPUS:80054811962
SN - 9781457705953
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 214
EP - 218
BT - 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
T2 - 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Y2 - 31 July 2011 through 5 August 2011
ER -